Preheat oven to 350 degrees F. Line 9-inch springform pan with parchment paper, inserting the paper in the pan before spring loading the sides of pan, paper will extend around bottom of pan. Lightly spray with cooking spray bottom and sides of pan.
In large mixing bowl, combine cake mix, dry pudding mix, coffee, oil, eggs + yolk and extract. With paddle attachment beat mix until combined about 2 minutes. Set aside.
In small mixing bowl, whip softened cream cheese, sugar, egg white, confectioners sugar until creamy. Set aside.
Pour ½ of the cake batter or 2 cups into prepared springform pan, smooth to level with off set spatula. With the back of a spoon, make a tunnel around the center of the cake batter about 1 inch from outside edge of pan and 1 inch from center of batter. Be careful not to go too deep creating the tunnel. It's more of a marker for the filling.
Spoon cream cheese filling in tunnel. Add raspberries on top of the cream cheese filling as desired being careful not to place the raspberries in the chocolate batter.
Pour remaining 2 cups of cake batter over the cream cheese filling. Smooth gently with off set spatula to level without disturbing the berries.
Bake in 350 F preheated oven for 90 minutes or until center is done. Testing with toothpick should result with tiny crumb but not wet.
Remove from oven and cool on wire rack for 10 minutes without removing spring form.